687075165504 has 896 divisors, whose sum is σ = 2666829312000. Its totient is φ = 168391581696.

The previous prime is 687075165493. The next prime is 687075165533. The reversal of 687075165504 is 405561570786.

It is a happy number.

687075165504 is a `hidden beast` number, since 6 + 8 + 7 + 0 + 75 + 1 + 65 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 158346567 + ... + 158350905.

It is an arithmetic number, because the mean of its divisors is an integer number (2976372000).

Almost surely, 2^687075165504 is an apocalyptic number.

687075165504 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687075165504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333414656000).

687075165504 is an abundant number, since it is smaller than the sum of its proper divisors (1979754146496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

687075165504 is a wasteful number, since it uses less digits than its factorization.

687075165504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4452 (or 4436 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 687075165504 in words is "six hundred eighty-seven billion, seventy-five million, one hundred sixty-five thousand, five hundred four".